Explain how to write an equation when given a description of a mathematical problem or real-world scenario.

Answers

Answer 1

Answer: In general, look for key words like "is" and "are,"  or "be." These become the equal sign in the equation.

Other key words to help decide which operation to use:

"And," "plus," and "the total of. . ." are clues for addition.

"Difference" or anything that means distance or amount between two given values is a signal for subtraction.

When Linear dimensions are given and Area is to be found, it will be a multiplication equation. The words "times" and "by" usually mean multiply.

Fractions are often multiplied by some other number.

Ratios are usually division problems.

When a total amount is distributed among some number of people, or you need to find out how many people will get a given share or portion, it is a division equation.

Step-by-step explanation:

It's much easier to explain with specific examples. Here is one.

We set up 15 rows of  6 seats in each row. How many seats are there altogether?

Of is the clue for multiplication Are becomes the equal sign.

15 × 6 = ? how many altogether?

90 = the number of seats.

Answer 2

Answer:

Sample Response: First, the variable needs to be determined. Then identify key words and translate the description. If possible, create a model, such as a diagram or table. Then write the equation using the variable.


Related Questions

Caleb started with 50 bacteria for his science experiment and they doubled in one day. Jenna also started with 50 bacteria for her experiment and after one day, her number of bacteria was equal to 50 to the second power. Choose the statement that is true for the number of bacteria after one day.



A Caleb's experiment had 100 bacteria and Jenna's experiment had 250 bacteria.



B Caleb's experiment had 100 bacteria and Jenna's experiment had 2,500 bacteria.



C Caleb's experiment had 500 bacteria and Jenna's experiment had 500 bacteria.



D Caleb's experiment had 250 bacteria and Jenna's experiment had 500 bacteria.

Answers

Answer: B

Step-by-step explanation:

The second power basically means that you multiply the number by itself that many times depending on the power, and since it's 50^2, the answer is Caleb - 100 | Jenna - 2,500. (Tip: Just multiply 50 x 50)

1. Jenny and Gary bought some crayons and makers. Jenny bought 4 crayons and 5 markers for $6.71. Gary bought 5 crayons and 3 markers for $7.12. Find the cost of each.​

Answers

Answer:

ons are in the crayon box.If there are 4 rows of 19 crayons,

Step-by-step explanation:

Please help me its due in 10 minutes

Answers

Answer:12

Step-by-step explanation:

12
..................

Mr. Ramirez baked 25 cookies. 4 fifths of the cookies were oatmeal. How many oatmeal cookies did Mr. Ramirez bake?

Answers

Answer:

20 oatmeal cookies

Step-by-step explanation:

4/5 of 25 is 20

If you are working on proportions, you can do 4/5=x/25

Answer:

24

Step-by-step explanation:

30 cookies, 4/5 are oatmeal

Multiply fractions straight across the equation, numerator times numerator and denominator times denominator.

30/1 x 4/5 = 120/5

Reduce 120/5 by dividing denominator and numerator by 5

120 / 5 = 24/1 = 24 cookies were oatmeal.

OR

30/5 = 6 = 1/5 of 30

4 x 6 = 24 cookies were oatmeal

Hardly worth heating the oven and getting all the pans dirty for such a small batch

HELP!! A,b,or C need it asap

Answers

Answer:

the answer is b

Step-by-step explanation:

B.


I need 20 letters

Vanessa tried to solve an equation step by step.−12=4(f-6)

Step 1. -12=4f−24
Step 2. 12=4f
Step 3. 4=f
Find Vanessa's mistake.

Answers

It step 3 I got The same question on khan academy

yall help please

Sandeep sat 11 tests in January 2020.

Each test was marked out of 60.

Here are his test results .

45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42

Find the interquartile range of these test results.

Answers

Given:

The data values are 45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42.

To find:

The interquartile range of these test results.

Solution:

We have, the set of data values.

45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42

Arrange the data in ascending order.

35, 37, 38, 39, 41, 42, 43, 44, 45, 47, 47

Divide the data in two equal parts.

(35, 37, 38, 39, 41), 42, (43, 44, 45, 47, 47)

Divide each parenthesis in two equal parts.

(35, 37), 38, (39, 41), 42, (43, 44), 45, (47, 47)

Here,

First quartile: [tex]Q_1=38[/tex]

Third quartile: [tex]Q_3=45[/tex]

Now, the interquartile range is

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=45-38[/tex]

[tex]IQR=7[/tex]

Therefore, the interquartile range of these test results is 7.

Find the slope of the ordered pairs (2,5) (4,13)

Answers

Answer:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ slope = \frac{13 - 5}{4 - 2} \\ = \frac{8}{2} = 4[/tex]

Chang Knows one side of a triangle is 13cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?
5cm and 8cm
6cm and 7cm
7cm and 2cm
8cm and 9cm​

Answers

Answer:

Option D: 8cm and 9cm. Is your answer.

Answer:

8 cm and 9 cm

Step-by-step explanation:

the two shorter sides must equal more than the longest side.

please help me please will give brainliest to anyone ​

Answers

Answer:

c.

Step-by-step explanation:

>means the unit rate once of icing for cake

=40 4/5 ounces

Alex has $30,000 in his savings account that earns 10% annually.

Part A
How much interest will he earn in one year?
Interest = $____

Part B
If Alex spends 20% of the interest received on buying furniture for his new house, what amount did he spent on furniture?
Answer: $_____

Answers

Part A:

.1 x 30,000 = 3000

$33,000

Part B:

.2x3000 = 600

$600
Part A .10 * 30000 = 3,000
Part b .20 *3000=$600

there are fewer than 8 gallons of gas in the tank... write an inequality to represent each situation.

Answers

Answer:

x<8

Step-by-step explanation:

i don't think the question was complete, i cannot make an inequality with just the information given.

Please help! - If the triangles are congruent, pick the postulate that proves they are congruent. If they aren't, choose not congruent.

Answers

SAS = side angle side. Two pairs of sides are congruent and one angle is congruent then it’s SAS. Part of it is covered so I may be missing something but I’m sure this is the correct answer.

Use the triangle below to solve for 14 5x-6 10​

Answers

Answer:

5x+18

Step-by-step explanation:

Are u dividing ? or no?... or adding more details plzz

Where is your triangle :( I don’t understand what you’re trying to say

The question is in the image

Answers

the answer is the 3rd one because when you add a negative you’re basically just subtracting the number, and 8-6=2 so 8 + (-6) is basically just saying 8-6 which also equals 2

i need help with a question

Answers

Answer: dp

Step-by-step explanation:

The regular price of a video game is $19.50 The store is having a 40% off sale.
A:How much is the discount?

B: How much will you pay for the video game after the discount?

Answers

A. The discount is 7.80 much

B. $11.7

The probality that Kimmy makes a basket is 7/10. If she shoots 100 baskets, how many times can she expect to make?​

Answers

Answer:

70

Step-by-step explanation:

100 shots is ten times the amount she took first

so we do 7 × 10 =70

Given the following system, what is the best first step to solving by substitution? 4x-5y=-2
X=15-4y

Answers

Answer:

Substitute x into the first equation.

Step-by-step explanation:

4(15-4y) - 5y = -2

The variable x is already by itself on one side of the equation. Therefore, x = 15 - 4y which means we can substitute 15 - 4y into the first equation.

Answer:

4(15-4y) - 5y = -2

Step-by-step explanation:

4x - 5y = -2

x = 15 - 4y:

Substitute x = 15 - 4y into the first equation:

4(15-4y) - 5y = -2

i forgot how to do this. ill give u a brainliest

Answers

Answer:

Possible answers could be that you have 400 adults and no children, or you could have 100 children and 340 adults.

Billy's Bikes charges $9 an hour to rent a bike plus a $19 flat fee. If Ben
spends $73, how many hours did he rent the bike for?

Answers

Answer:

6

Step-by-step explanation:

Make an equation Set x as number of hour

19+9x=73

9x=54

x=6

Step-by-step explanation:

73-19 flat fee=54

54÷9=6 hrs

Will Give Brainliest

Last week Jim’s gross pay was $1,248 working 40 regular hours and 8 overtime hrs at double pay.

What was Jim's regular hourly rate?

Answers

Answer: 24


Explanation:

Total pay = gross pay + overtime pay

= 40x + 12x

= 52x

The total pay is 1,248
So

5x = 1,248

X = 1,248/52

X = 24

(Divide each side by 52)

Given m||n, find the value of x.
t
>m
(8x-27)
(7x-4)

Answers

Answer:

x = 23

Step-by-step explanation:

(8x - 27) and (7x - 4) are corresponding angles and are congruent, so

8x - 27 = 7x - 4 ( subtract 7x from both sides )

x - 27 = - 4 ( add 27 to both sides )

x = 23

Answer:

x = 23

Step-by-step explanation:

Pleaseeeee help thanks

Answers

Answer:

1 freedom of speech

2 bear arms mean that i can own and carry a gun to protect me, myself and my property.

3 search warent

4 the tar and feather used on blacks.

5 fouth

6 it is passed down to mayors

7 i think that the most important amendment is the first because it allows us say what we like without getting punished by it.

sorry bout my bad grammer

Step-by-step explanation:

SOLVE AND ILL MARK BRAINLIEST!!!

Answers

Answer:

Gabrielle, because she gets 16.2 miles per gallon, where as Jerimiah only gets 15 miles per gallon.

Step-by-step explanation:

What should the points be of the linear equation y=2x + 1

Answers

Answer:

B

Step-by-step explanation:

Answer:

x=1,y=3

Step-by-step explanation:

e.g y= 3

3=2x+1

3-1=2x

2/2=x

1=x

PLS HELP ASAP!!!!! WILL GIVE BRAINLIEST!!!!!!!!! 100 POINTS!!!!!!!!!
Point A (-3, 5) is rotated 270 counterclockwise degrees about the origin. What the coordinates of its image?
(3, -5)
(-5, 3)
(-5, -3)
(5, 3)

Answers

Answer:

(3, -5)!

Hope this helps! :D

Which scenario could represent − 50 ÷ 8 ?

Answers

-6.25 which you will round off to -6

8 is what percent of 400?'
Your answer

Answers

Answer:

2

Step-by-step explanation:

8:400*100 =

(8*100):400 =

800:400 = 2

The solution of the equation that 8 is what percent of 400 is  2, i.e. 8 is 2  percent of 400.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The equation of percentage can be calculated as:

Consider, the unknown variable as x,

According to the given data in the question,

[tex]8 = \dfrac{x}{100} \times 400[/tex]

The equation can be simplified as:

8 = 4x

Divide both side by 4 to get the value of x,

x = 2

The solution of the equation that 8 is 2  percent of 400.

Learn more about equations here :

https://brainly.com/question/14686792

#SPJ6

Luke, Kira, and Ali each served 23 of their own cake. Each cake was the same size, but Luke served 4 slices, Kira served 6 slices, and Ali served 8 slices. How is this possible? Enter your answers in the boxes to complete the solution

Answers

Complete Question:

Luke, Kira, and Ali each served 2/3 of their own cake. Each cake was the same size, but Luke served 4 slices, Kira served 6 slices, and Ali served 8 slices. How is this possible? Enter your answers in the boxes to complete the solution.

A. Luke cut his cake into how many slices?

B. Kira cut her cake into how many slices?

C. Ali cut her cake into how many slices.

Answer:

A. 6 slices.

B. 9 slices.

C. 12 slices.

Step-by-step explanation:

Given the following data;

Number served by Luke = 4 slices

Number served by Kira = 6 slices

Number served by Ali = 8 slices

We would solve for the number of slices each of them divided their cakes into.

For Luke, serving 2/3;

[tex] \frac {4}{\frac{2}{3}} = \frac {4 * 3}{2} [/tex]

[tex] \frac {4}{\frac{2}{3}} = \frac {12}{2} [/tex]

[tex] \frac {4}{\frac{2}{3}} = 6 \; slices [/tex]

For Kira, serving 2/3;

[tex] \frac {6}{\frac{2}{3}} = \frac {6 * 3}{2} [/tex]

[tex] \frac {6}{\frac{2}{3}} = \frac {18}{2} [/tex]

[tex] \frac {6}{\frac{2}{3}} = 9 \; slices [/tex]

For Ali, serving 2/3;

[tex] \frac {8}{\frac{2}{3}} = \frac {8 * 3}{2} [/tex]

[tex] \frac {8}{\frac{2}{3}} = \frac {24}{2} [/tex]

[tex] \frac {8}{\frac{2}{3}} = 12 \; slices [/tex]

Therefore, it is possible because;

A. Luke cut his cake into 6 slices.

B. Kira cut her cake into 9 slices.

C. Ali cut her cake into 12 slices.

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